Mathematicians soon hypothesized that as your set gets bigger, the biggest sum-free subsets will get much larger than N /3.

Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go ...

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer ...

Manu Prakash works on the world’s most urgent problems and seemingly frivolous questions at the same time. They add up to a ...

Reversible programs run backward as easily as they run forward, saving energy in theory. After decades of research, they may ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Changes in the number, shape, efficiency and interconnectedness of organelles in the cells of flight muscles provide extra energy for birds’ continent-spanning feats. Weighing in at a single ounce, ...

Po-Shen Loh discusses his approach to coaching the United States International Mathematical Olympiad team and reveals what he believes to be the major problem with math education.

Reversible programs run backward as easily as they run forward, saving energy in theory. After decades of research, they may soon power AI. Exploring the distant universe, the insides of cells, the ...

About the author Charlie Wood is a staff writer covering physics at Quanta Magazine.His articles about advances in the physical sciences both on and off the planet have appeared in Popular Science, ...

The reference frames from which observers view quantum events can themselves have multiple possible locations at once — an insight with potentially major ramifications. Curious connections between ...